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Chapter 31: Q. 13 (page 901)

What is the electric field amplitude of an electromagnetic wave whose magnetic field amplitude is $2.0 mT$ $?$

Short Answer

Expert verified

The electric field amplitude of an electromagnetic wave is $6 \times 10^{5} V / m$ .

Step by step solution

01

Formula for electric field amplitude

As it stands,

$B = 2.0 mT$

$c = 3 \times 10^{8} m / s$

Electric field amplitude is,

$E = B \cdot c$

$B$ is magnetic field amplitude.

localid="1648800544485" $c$ is in a vacuum, the speed of light .

02

Calculation for Electric field amplitude

Electric field amplitude,

$E = B \cdot c$

Substitute all values,

$E = 2.0 \times 10^{- 3} T \times 3 \times 10^{8} m / s$

$E = 6 \times 10^{5} V / m$

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Most popular questions from this chapter

The intensity of an electromagnetic wave is $10 W / m^{2}$ . What will the intensity be if:

a. The amplitude of the electric field is doubled?

b. The amplitude of the magnetic field is doubled?

c. The amplitudes of both the electric and the magnetic fields are doubled?

d. The frequency is doubled?

a. What is the magnetic field amplitude of an electromagnetic wave whose electric field amplitude is $100 V / m$ $?$

b. What is the intensity of the wave $?$

What is the magnetic field amplitude of an electromagnetic wave whose electric field amplitude is $10 V / m$ $?$

At what distance from a $10 W$ point source of electromagnetic waves is the magnetic field amplitude $1.0 m T$ ?

$F I G U R E P 31.39$ Shows the electric field inside a cylinder of radius localid="1649879543758" $R = 3.0 m m .$ . The field strength is increasing with time as localid="1649879549377" $E = 1.0 \times 10^{8} t^{2} V / m$ , where $t$ is in $s$ . The electric field outside the cylinder is always zero, and the field inside the cylinder was zero for localid="1649879554833" $t < 0$ .

localid="1649879566359" $a .$ Find an expression for the electric flux localid="1649879560575" $ϕ_{e}$ through the entire cylinder as a function of time.

localid="1649879572467" $b$ . Draw a picture showing the magnetic field lines inside and outside the cylinder. Be sure to include arrowheads showing the field’s direction.

localid="1649879587867" $c$ . Find an expression for the magnetic field strength as a function of time at a distance localid="1649879577475" $r < R$ from the center. Evaluate the magnetic field strength atlocalid="1649879582437" $r = 2.0 m m$ , localid="1649879592577" $t = 2.0 s$ .

d. Find an expression for the magnetic field strength as a function of time at a distancelocalid="1649879597467" $r > R$ from the center. Evaluate the magnetic field strength at localid="1649879602321" $r = 4.0 m m$ , localid="1649879607075" $t = 2.0 s$ .

See all solutions

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